document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247167>Question 247167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graph of the are parallel.<BR>\n" );
document.write( " x+13=y<BR>\n" );
document.write( "2y=6x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180364 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order for two lines be parallel, they must have the same slope.<BR>\n" );
document.write( "If we convert all equations to this pattern: y=mx+b, m would be our slope.<BR>\n" );
document.write( "So, let's compare them:\r<BR>\n" );
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document.write( "y=x+13 ... its slope is 1\r<BR>\n" );
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document.write( "2y=6x-3<BR>\n" );
document.write( "y=3x-(3/2) ... its slope is 3\r<BR>\n" );
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document.write( "Since the slopes are different, we know they are not parallel.<BR>\n" );
document.write( "Below is how the lines would look like in the cartesian plane.<BR>\n" );
document.write( "The red line represents <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B13 ALIGN=MIDDLE  ALT=\"x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The green line represents <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-%283%2F2%29 ALIGN=MIDDLE  ALT=\"3x-%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28500%2C+500%2C+-50%2C+50%2C+-50%2C+50%2C+x%2B13%2C+3x-%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph+%28500%2C+500%2C+-50%2C+50%2C+-50%2C+50%2C+x%2B13%2C+3x-%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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